Dual Geodesic Icosahedra

The polyhedra on this page are the duals of geodesic icosahedra. They are sometimes called Goldberg polyhedra, after Michael Goldberg, who described them in 1937 [1].

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Dual Geodesic Icosahedron Pattern 1 [1,1]
(Truncated Icosahedron)
(Uniform #25)
Dual Geodesic Icosahedron Pattern 2 [2,0]
(Chamfered Dodecahedron)

Dual Geodesic Icosahedron Pattern 3 [2,1]
(Hexpropello Dodecahedron)

Dual Geodesic Icosahedron Pattern 4 [3,0]
(Truncated Pentakis Dodecahedron)

Dual Geodesic Icosahedron Pattern 5 [2,2]
(Truncated Pentakis Icosidodecahedron)

Dual Geodesic Icosahedron Pattern 6 [3,1]

Dual Geodesic Icosahedron Pattern 7 [4,0]

Dual Geodesic Icosahedron Pattern 8 [3,2]

Dual Geodesic Icosahedron Pattern 9 [4,1]

Dual Geodesic Icosahedron Pattern 10 [5,0]

Dual Geodesic Icosahedron Pattern 11 [3,3]

Dual Geodesic Icosahedron Pattern 12 [4,2]

Dual Geodesic Icosahedron Pattern 13 [5,1]

Dual Geodesic Icosahedron Pattern 14 [6,0]

Dual Geodesic Icosahedron Pattern 15 [4,3]

References:[1]Michael Goldberg, A Class of Multi-Symmetric Polyhedra, Tohoku Mathematical Journal 43 (1937), 104-108.